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Age and residual lifetime distributions for branching processes

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  • Yakovlev, A.
  • Yanev, N.

Abstract

We introduce and investigate age and residual lifetime distributions associated with branching stochastic processes and motivated by biological applications. The required distributions and their limiting forms are derived in a general class of age-dependent branching processes with non-homogeneous Poisson immigration.

Suggested Citation

  • Yakovlev, A. & Yanev, N., 2007. "Age and residual lifetime distributions for branching processes," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 503-513, March.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:5:p:503-513
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    References listed on IDEAS

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    1. Ollivier Hyrien & Margot Mayer-Pröschel & Mark Noble & Andrei Yakovlev, 2005. "A Stochastic Model to Analyze Clonal Data on Multi-Type Cell Populations," Biometrics, The International Biometric Society, vol. 61(1), pages 199-207, March.
    2. Taylor, James R., 1982. "Backward and forward recurrence times, and their interrelationships in Bellman-Harris branching processes," Statistics & Probability Letters, Elsevier, vol. 1(1), pages 12-16, July.
    3. Mitov, Kosto V. & Yanev, Nikolay M., 2006. "Superposition of renewal processes with heavy-tailed interarrival times," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 555-561, March.
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    Cited by:

    1. Ollivier Hyrien & Nikolay M. Yanev, 2012. "Asymptotic Behavior of Cell Populations Described by Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Immigration," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(4), pages 164-176, October.

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